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Finding the Fourth Proportional to 9,101.05, 13,649.14 and 5,612.79

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Solution

The fourth proportional to 9,101.05, 13,649.14 and 5,612.79 is: 8,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.05 : 13,649.14 = 5,612.79 : x
  2. Step 2: Convert to fraction form
    9,101.05/13,649.14 = 5,612.79/x
  3. Step 3: Cross multiply
    9,101.05x = 13,649.14 × 5,612.79
  4. Step 4: Simplify right side
    9,101.05x = 76,609,756.50
  5. Step 5: Solve for x
    x = 76,609,756.50/9,101.05
  6. Step 6: Final answer
    x = 8,417.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.